Question
A train started from station P and preceded towards
station Q at a speed of 64 km/h. 45 minutes later, another train started from station Q and preceded towards station P at 100 km/h. If the distance between the two stations is 376 km, at what distance from station P will the trains meet?Solution
Let the train will meet ‘t’ hours after the train from station Q started Distance travelled by train started from station P = 64 x 45/60 km Distance travelled by train started from station Q = (64 + 100) x t km Total distance between station P and Q = 376 km Now, 64 x (45/60) + (64 + 100) x t = 376 ⇒ 48 + 164t = 376 ⇒ 164t = 376 – 48 = 328 ⇒ t = 328/164 = 2 hours Distance travelled by train starting from station P at all meeting point = 48 + 64 x 2 = 176 km
In 2018, the income-to-expenditure ratio of Vishal was 5:3. The following year, his income increased by 10% while his expenditure rose by 15%. Determine...
What is the value of √25% =?
Raj saves Rs. 7500 more if he spends 60% of his income instead of 90%. Find the savings of Sanjay whose income is 30% more than that of Raj, and spends ...
- In a local election between two candidates, the winning candidate secured 72% of the total valid votes and won the election by a margin of 1800 votes. Find...
The sum of the monthly incomes of ‘A’, ‘B’ and ‘C’ is Rs. 40000 which is 4 times the monthly income of ‘C’. If ‘A’ spends 30% of his...
In a given years, A sold 1600 caps while B sold 30% more number of caps than A and C sold 20% less number of caps than B. Find the ratio between the num...
In a school election for the position of president, two students were competing. Among the eligible voters, 80% participated by c...
The marks scored by a boy in three subjects are in the ratio 4 : 3 : 2. Boy scored an overall aggregate of 60% in the exam. If the maximum marks in each...
- A number is first increased by 18% and then decreased by 18%. The overall change in number is:
In an election contested between two candidates, 75% of the total voters in the city participated in voting, out of which 20% of ...
